True or False The following statement is a proposition: The time of the final fo

Question

True or False The following statement is a proposition: The time of the final for that class is unknown. a = T, b = T, c = F (a b) c = _____ b c = ____ Give truth table for p rightarrow q necessary or sufficient, Given p rightarrow q, p is ___ (p q) = p q is a correct example of one of the 8 versions of Demorgan's law Hamlet drank a triple big gulp, went to a great movie, and sat in the theater thinking about whether or not to leave the movie temporarily. He was reminded of the words of the immortal bard, "[to] P or not [to] P. that is the question." Using P as a boolean, restate the bold symbolically. ____ and give it's truth value. ____ Prove one of the forms of the distributive law with a truth table True or False A set is a collection of objects. True or False The objects in a set are called elements or members. True or (False A set may contain elements of different varieties, e.g., a set whose elements are the number 2, a student, and a monkey (assuming that the monkey isn't a student). True or False A set is defined by indicating which elements belong to it. True or False If the number of elements in a set is small, the easiest way to to describe the set is by listing its elements. Parentheses are used to enclose the list of elements as in the following definition of the set A: A = (2, 4, 6, 10) True or False The order in which the elements are listed is important. So set A can also be expressed as: A = (10, 6, 4, 2) True or False Although phi, {}, and [] are legitimate math symbols to represent an empty set, you were instructed to only use {} in this class to avoid confusion with zero and arrays. True or False Because the empty set has no elements, for any element a, a 0 is true. True or False An infinite set has an finite number of elements repeated an infinite number of tines. If A = {2, 4, 6, 10}, then |A| = ___ The cardinality of the set B = {1, 3, 5, ..., 99} is ____ D = {3, 4, 5} E = {5, 3, 4} F = {5, 3, 4, 6} True or False D = E True or False D = F A = {{1, 2}, {}, {1, 2, 3}, {1}} |A| = |{{}}| = ____ True or False The power set of a set A, denoted P(A), is the set of all supersets of A. True or False The cardinality of the power set of A is 2^|A| + 1

Explanation / Answer

1.It is not a proposition it is not a declarative False.

2.a b a b c    a b c

T T T F T

T F F F F

F T F F F

F F F F F

For given statement the output is (a b) c true.

3. b C answer is true

b c b c

T F T

4.

p q p q

T T T

T F F

F T T

F F T

5.p is both necessary and sufficient for the q.

6.True

9.The Distributive Law states that multiplies a number with group of numbers added together is the same as doing each multiplication separately.

a× (b + c) = a×b + a×c

10. A set is a collection of objects. it is true

11.True

12.False

13.True

14.False

15.False

16.True use only paranthesis

17.false

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